Grade: 7 Unit: 6 Week: 5 Content: Conducting a Simulation Problem Solving Connection Dates: 5/6/2013 – 5/10/2013
Theme Essential Question: How does the probability of an outcome affect the decision making process in real-life situations?
Essential Questions: How can you use simulations to estimate probabilities?
Standards:
7. SP.8c: Design and use a simulation to generate frequencies for compound events.
Objectives:
The student will design and conduct a simulation.
The student will evaluate and analyze the likelihood of an event.
The student will make predictions about future events based on the likelihood of their simulation.
Background Information Students continue to build on the use of simulations for simple probabilities and now expand the simulation of compound probability. Providing opportunities for students to match situations and sample spaces assists students in visualizing the sample spaces for situations.
Assessment Product Teaching the Common Core Math Standards with Hands-On Activities,
Investigate chance processes and develop, use, and evaluate probability models 7.SP.8 – Activity: p. 148-150
Key Questions
How is a simulation design and conducted?
How can a simulation be modified from a non equally likely event so that likely event to occur?
Discuss relevant application of your study of probability.
Observable Student Behaviors
Students can design and conduct simulations to verify the relevance to a probability of an event occurring.
Mathematical Practices 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning.
Vocabulary:
Math
Suggested Activities:
Houghton Mifflin On Core Mathematics Middle School Grade 7
Unit 7-5, p. 173-174
Unit 7 Problem Solving Connection, p. 175-178
Unit 7 Test Prep, p. 179-180
ABC Mastering the Common Core in Mathematics
Chapter 15-4 Simulation p. 174-175
Chapter 15-6 Probability Modeling p. 198-199
Chapter 15-7 Predictions using Probability p. 200-201
Chapter 15-8 Equally Likely vs Equally Probable p. 202
Chapter 15 Review and Test p. 203-206
v Gizmo Correlation
7.SP.8
Compound Independent Events
Compare the theoretical and experimental probabilities of compound independent events by drawing colored marbles from a bag. Record the results of successive draws with replacement of marbles to calculate the experimental probability.
Permutations
Experiment with permutations of a number of letters represented by letter tiles selected at random from a box. Count the permutations using a dynamic tree diagram, a dynamic list of permutations, and a dynamic computation by the counting principle.
Permutations and Combinations
Experiment with permutations and combinations of a number of letters represented by letter tiles selected at random from a box. Count the permutations and combinations using a dynamic tree diagram, a dynamic list of permutations, and a dynamic computation by the counting principle.
Compound Independent Events
Compare the theoretical and experimental probabilities of compound independent events by drawing colored marbles from a bag. Record the results of successive draws with replacement of marbles to calculate the experimental probability.
Compound Independent and Dependent Events
Compare the theoretical and experimental probabilities of drawing colored marbles from a bag. Record results of successive draws to find the experimental probability. Perform the drawings with replacement of the marbles to study independent events, or without replacement to explore dependent events.
Content: Conducting a Simulation
Problem Solving Connection
Dates: 5/6/2013 – 5/10/2013
Theme Essential Question:
How does the probability of an outcome affect the decision making process in real-life situations?
Essential Questions:
How can you use simulations to estimate probabilities?
Standards:
Objectives:
Background Information
Students continue to build on the use of simulations for simple probabilities and now expand the simulation of compound probability. Providing opportunities for students to match situations and sample spaces assists students in visualizing the sample spaces for situations.
Assessment
Product
Teaching the Common Core Math Standards with Hands-On Activities,
Key Questions
Observable Student Behaviors
1. Make sense of problems and persevere in solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in repeated reasoning.
Suggested Activities:
- Houghton Mifflin On Core Mathematics Middle School Grade 7
- Unit 7-5, p. 173-174
- Unit 7 Problem Solving Connection, p. 175-178
- Unit 7 Test Prep, p. 179-180
- ABC Mastering the Common Core in Mathematics
- Chapter 15-4 Simulation p. 174-175
- Chapter 15-6 Probability Modeling p. 198-199
- Chapter 15-7 Predictions using Probability p. 200-201
- Chapter 15-8 Equally Likely vs Equally Probable p. 202
- Chapter 15 Review and Test p. 203-206
v Gizmo Correlation- 7.SP.8
- Compound Independent Events
- Compare the theoretical and experimental probabilities of compound independent events by drawing colored marbles from a bag. Record the results of successive draws with replacement of marbles to calculate the experimental probability.
- Permutations
- Experiment with permutations of a number of letters represented by letter tiles selected at random from a box. Count the permutations using a dynamic tree diagram, a dynamic list of permutations, and a dynamic computation by the counting principle.
- Permutations and Combinations
- Experiment with permutations and combinations of a number of letters represented by letter tiles selected at random from a box. Count the permutations and combinations using a dynamic tree diagram, a dynamic list of permutations, and a dynamic computation by the counting principle.
- Compound Independent Events
- Compare the theoretical and experimental probabilities of compound independent events by drawing colored marbles from a bag. Record the results of successive draws with replacement of marbles to calculate the experimental probability.
- Compound Independent and Dependent Events
- Compare the theoretical and experimental probabilities of drawing colored marbles from a bag. Record results of successive draws to find the experimental probability. Perform the drawings with replacement of the marbles to study independent events, or without replacement to explore dependent events.
High Recommended:http://illustrativemathematics.org/illustrations/343, 7.SP.8
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